# How do I find the values of the x and y coordinates based on the angle?

How do I find the value of X and Y? I have the angle formed by the point P and I know that the radius of the circle is 1000. How do I calculate this? Appreciate!

## migrated from mathematica.stackexchange.comNov 26 '17 at 15:38

This question came from our site for users of Wolfram Mathematica.

• Wrong site. This site deals with the software Mathematica. You have asked about a homework problem in trigonometry. Start drawing triangles. – Hugh Nov 26 '17 at 14:00
• Do you know the sine and cosine functions? You are changing from polar to Cartesian coordinates. Do you know how to do that? – Ross Millikan Nov 26 '17 at 15:40

$$\sin66^\circ = \frac{y}{r}$$
$$\cos66^\circ = \frac{x}{r}$$
Use a calculator to calculate $\sin66^\circ$, $\cos 66^\circ$.
$$0.91354545764 = \frac{y}{r}$$
$$0.40673664307 = \frac{x}{r}$$